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Flura [38]
3 years ago
15

The total output power of an AM transmitter that is being operated at 50% modulation is measured to be 1800 watts. What is the c

arrier power?
a. 1440 watts
b. 1600 watts
c. 900 watts
d. 2025 watts
Physics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

b. 1600 watts

Explanation:

Modulation is the process of impressing a low frequency signal unto a high frequency signal so a to transmit over long distance.

If the modulation index (m) for an AM wave is less than 1, modulation would occur with no distortion, if m = 1, modulation occurs but if m > 1, it leads to over modulation and loss in AM envelope.

The total output power of an AM is the sum of the carrier power, upper side band power and lower side band power.

Total output power of an AM (P_{AM})=(\frac{2+m^2}{2} )P_c\\

Pc is the carrier power. Given that modulation (m) = 50% = 0.5:

P_{AM}=\frac{2+m^2}{2} P_c\\\\1800=\frac{2+0.5^2}{2} P_c\\\\1800=1.125P_c\\\\P_c=1600\ watts

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A 200. kg object is pushed 12.0 m to the top of an incline to a height of 6.0 m. If the force applied along the incline is 3000.
Nataliya [291]

Answer:

Approximately 1.2 \times 10^{4}\; {\rm J} (assuming that g = 9.81\; {\rm N \cdot kg^{-1}}.)

Explanation:

The strength of the gravitational field near the surface of the earth is approximately constant: g = 9.81\; {\rm N \cdot kg^{-1}}.

The change in the gravitational potential energy ({\rm GPE}) of an object near the surface of the earth is proportional to the change in the height of this object. If the height of an object of mass m increased by \Delta h, the {\rm GPE} of that object would have increased by m\, g\, \Delta h.

In this question, the height of this object increased by \Delta h = 6.0\; {\rm m}. The mass of this object is m = 200\; {\rm kg}. Thus, the {\rm GPE} of this object would have increased by:

\begin{aligned}& (\text{Change in GPE}) \\ =\; & m\, g\, \Delta h \\ =\; & 200\; {\rm kg} \times 9.81\; {\rm N \cdot kg^{-1}} \times 6.0\; {\rm m} \\ \approx\; & 1.2 \times 10^{4}\; {\rm J}\end{aligned}.

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3 0
2 years ago
A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed o
erma4kov [3.2K]

Answer:

The height is  h = 0.5224 \ m

Explanation:

From the question we are told that

   The combined mass of the child and the sled is  m =  58.0 \  kg

    The  speed of the sled is  u = 3.20 \ m/s

Generally applying SOHCAHTOA on the slope which the combined mass is down from

   Here the length of the slope(L)  where the combined mass slides through  is the hypotenuses

   while the height(h) of the height of the slope is the opposite

Hence from SOHCAHTOA

      sin (\theta) =  \frac{h}{L}

=>   Lsin(\theta) = h

Generally from the kinematic equation we have that

   v^2  = u^2 + 2aL

Here the u  is the initial velocity of the combined mass which is zero since it started from rest

 and  a is the acceleration of the combined mass which is mathematically evaluated as

       a =  g * sin (\theta )

      v^2  = u^2 + 2 *  g * sin (\theta )L

=>   2Lsin(\theta ) =  \frac{v^2 - u^2 }{g}

=>   h = \frac{ v^2 - u^2}{2g}

=>   h = \frac{ 3.20^2 - 0^2}{2 * 9.8 }

=>   h = 0.5224 \ m

6 0
3 years ago
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